6494234097600 has 588 divisors, whose sum is σ = 24543395007600. Its totient is φ = 1689544396800.

The previous prime is 6494234097563. The next prime is 6494234097607. The reversal of 6494234097600 is 67904324946.

6494234097600 is a `hidden beast` number, since 6 + 4 + 9 + 4 + 23 + 4 + 0 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6494234097607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 47754501 + ... + 47890299.

It is an arithmetic number, because the mean of its divisors is an integer number (41740467700).

Almost surely, 2^{6494234097600} is an apocalyptic number.

6494234097600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6494234097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12271697503800).

6494234097600 is an abundant number, since it is smaller than the sum of its proper divisors (18049160910000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6494234097600 is a wasteful number, since it uses less digits than its factorization.

6494234097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135880 (or 135850 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 6494234097600 in words is "six trillion, four hundred ninety-four billion, two hundred thirty-four million, ninety-seven thousand, six hundred".